Finding the Third Proportional to 99,784 and 213,404

Step by Step Solution

1. Step 1: Write the proportion equation
   99,784 : 213,404 = 213,404 : x
2. Step 2: Convert to fraction form
   99,784/213,404 = 213,404/x
3. Step 3: Cross multiply
   99,784x = 213,404 × 213,404
4. Step 4: Simplify right side
   99,784x = 45,541,267,216
5. Step 5: Solve for x
   x = 45,541,267,216/99,784
6. Step 6: Final answer
   x = 456,398.49